Laws of the iterated logarithm and large deviations for a class of diffusionl processes
Bruno Rémillard, Donald A. Dawson · Canadian Journal of Statistics · 1989
Abstract We use the martingale approach to study large deviations and laws of the iterated logarithm for certain multidimensional diffusion processes. The criteria for the validity of these properties are expressed in terms of averaging properties of the coefficients of the infinitesimal generator. In particular we apply our results to diffusion processes with random coefficients.